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Olver P.J., Shakiban C. — Applied linear. algebra
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Название: Applied linear. algebraАвторы: Olver P.J., Shakiban C. Аннотация: Applied mathematics rests on two central pillars: calculus and linear algebra. While calculus has its roots in the universal laws of Newtonian physics, linear algebra arises from a much more mundane issue: the need to solve simple systems of linear algebraic equations. Despite its humble origins, linear algebra ends up playing a comparably profound role in both applied and theoretical mathematics, as well as in all of science and engineering, computer science, probability and statistics, economics, numerical analysis, mathematical biology, and many other disciplines. Nowadays, a proper grounding in both calculus and linear algebra is an essential prerequisite for a successful career in science, engineering, and mathematics.
Язык: Рубрика: Математика /Серия: Сделано в холле Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 714Добавлена в каталог: 04.06.2011Операции: Положить на полку |
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Предметный указатель
continuous 134 150 601 Continuous function 86 271 336 609 continuum limit 585 588 589 609 613 Continuum mechanics 180 586 Contraction 482 Control system 108 330 363 Convergence in norm 151 Convergence rate 542 Convergent 151 523 542 558 Convergent matrix 523 524 531 533 535 548 Convergent sequence 88 Convex 149 Coordinate axes 420 coordinates 103 151 222—224 353 419 563 Coordinates, polar 91 171 Coordinates, radial 370 Corange 115 116 118 272 274 428 Corporation 545 Cosine 140 171 counterclockwise rotation 483 country 544 Covariance matrix 160 430 Cramer's rule 75 Criterion stopping 566 Critical point 185 187 Critically damped 499 506 Cross polytope 148 Cross product 140 221 353 401 484 Cross-correlation 212 Crystallography 235 346 cube 126 308 Cubic piecewise 630 Curl 338 Current 123 303 309 310 505 506 Current source 304 308 310 Curvature 623 Curve 279 448 630 Curve fitting 633 Curve, closed 633 Curve, level 465 Curve, space 634 Curved trajectory 481 493 Cylinder 87 635 Damped 294 Damped periodic motion 498 Damped, critically 506 Damped, frictionally 503 Data analysis 180 Data experimental 261 Data fitting 133 182 Data Mining 391 429 Data transmission 210 Data vector 196 Decay rate 199 Decay, exponential 460 Decay, radioactive 392 decimal 289 Decomposition, polar 421 Decomposition, spectral 422 Decrease steepest 462 563 Deer 393 514 Definite negative 156 461 Definite positive 154 156 158 164 168 186—188 295 300 318 385—387 414 419 420 461 487 495 563 573 616 636 639 641 Deflation 406 572 Deformation 421 Deformation, elastic 420 Degree 80 100 157 173 225 263 403 Delta distribution 595 Delta function 594 596 601 636 643 Denoising 104 285 Dense 271 Department of Natural Resources 514 Dependent linearly 95 97 98 Deposit 511 Derivative 86 173 474 601 603 608 612 Derivative operator 337 342 586 612 Derivative, partial 187 338 Design 180 518 630 634 Determinant 33 71 73 105 396 400 402 403 466 470 476 538 Determinantal formula 73 401 568 Determinate statically 298 323 589 Diagonal 8 11 14 16 17 23 28 89 106 347 349 Diagonal entries 549 Diagonal matrix 8 43 46 410 419 422 427 520 549 573 Diagonal, block 36 441 Diagonal, main 8 44 53 Diagonalizable 408 410 418 442 455 Diagonalizable, complex 411 Diagonalizable, real 411 Diagonalizable, simultaneously 413 Diagonalization 410 477 520 diamond 148 Difference equation 330 Difference finite 560 562 Difference map 418 Differentiable 86 Differential delay equation 330 Differential equation 86 330 331 363 481 546 583 Differential operator 342 363 367 587 612 Differentiation 337 345 Diffusivity 592 digit 289 digital media 218 277 Digraph 123 301 DIMENSION 78 102 116 174 220 Dimention complementary 269 Dirac delta function 595 Direct method 562 Directed graph 123 Direction, conjugate 565 Direction, null 155 157 Direction, principal 420 421 Direction, transverse 584 623 Dirichlet boundary condition 614 636 638 642 Dirichlet boundary value problem 614 621 Discontinuity 627 Discontinuity, jump 601 609 Discontinuity, removable 601 Discrete Fourier representation 279 Discrete Fourier Transform 210 281 287 Discriminant 466 Disk unit 137 Displacement 294 296 310 485 506 585 612 623 Displacement space 612 Displacement vector 295 315 485 Distance 132 146 183 189 191 196 360 distribution 595 597 Distribution, delta 595 Distributive 9 78 353 Divergence 88 338 Division 50 202 dodecahedron 128 Dolby 285 Domain 137 382 Domain space 331 Dominant 426 Dominant eigenvalue 525 568 570 Dominant eigenvector 525 569 Dominant singular value 426 Dot product 131 138 159 174 219 262 272 340 353 357 413 double 369 Double eigenvalue 397 Doublet 603 Doubly stochastic 546 Downhill 181 Drum 635 Dual basis 340 Dual space 339 Duality 597 598 Dump 393 DVD's 218 Dynamical motion 486 Dynamical system 390 394 Dynamics nonlinear 445 Dynamics quantum 169 Earth 306 Econometrics 180 Economics 394 540 EDGE 122 126 Eigenline 421 466 Eigenline, stable 468 Eigenline, unstable 468 Eigensolution 445 446 452 487 Eigenspace 398 400 407 466 Eigenspace generalized 507 Eigenstate 419 Eigenvalue 395 396 407 438 446 514 Eigenvalue, complete 407 Eigenvalue, dominant 525 568 570 Eigenvalue, double 397 Eigenvalue, generalized 417 425 507 527 Eigenvalue, intermediate 424 Eigenvalue, largest 423 Eigenvalue, multiple 407 Eigenvalue, quadratic 527 Eigenvalue, simple 397 Eigenvalue, smallest 423 Eigenvalue, subdominant 528 542 570 572 Eigenvector 395 396 397 406 407 411 419 426 438 446 474 487 514 520 568 Eigenvector basis 407 452 487 Eigenvector equation 487 Eigenvector, complex 399 Eigenvector, dominant 525 569 Eigenvector, generalized 417 438 497 Eigenvector, null 414 493 Eigenvector, probability 542 Eigenvektor 395 Eigenwert 395 Elastic 584 Elastic deformation 420 Elasticity 181 346 368 420 Electric charge 303 Electrical circuit 181 486 504 Electrical energy 309 Electrical engineering 169 170 Electrical network 122 301 309 310 507 Electrical-Mechanical Correspondence 310 504 electricity 301 Electromagnetism 82 169 181 368 503 Electromotive force 301 Electron 301 303 305 Element, finite 180 560 562 Element, zero 78 80 84 141 331 Elementary column operation 75 Elementary matrix 16 39 74 350 Elementary matrix, inverse 17 Elementary reflection matrix 239 244 352 404 578 Elementary row operation 16 23 38 60 71 116 Elementary symmetric polynomial 403 ellipse 433 Ellipsoid 420 434 Elongation 294 296 300 310 314 486 585 Elongation vector 295 315 End free 591 Ending node 302 Ending vertex 123 Energy 330 464 Energy electrical 309 Energy electrical, internal 300 617 618 Energy electrical, potential 180 181 300 462 617 Energy electrical, total 617 Energy energy function 300 Energy functional 628 Engine search 510 Engineering 1 Engineering electrical 169 170 Entry 4 Entry diagonal 549 Entry zero 50 Envelope 502 equal 4 Equation beam 381 Equation characteristic 366 368 395 396 400 406 447 466 498 Equation difference 330 Equation differential 86 330 331 363 481 546 583 Equation eigenvector 487 Equation equilibrium 296 588 Equation heat 381 Equation integral 78 108 330 331 363 583 Equation linear 2 Equation normal 194 214 260 307 431 Equation polynomial 400 403 Equation quadratic 65 Equilateral triangle 318 496 541 Equilibrium 294 300 325 393 495 623 624 Equilibrium equation 296 588 Equilibrium solution 392 448 511 528 617 Equilibrium, stable 181 Equilibrium, thermal 592 Equilibrium, unstable 181 Equivalent 2 128 150 Equivalent norm 150 Equivalent system 2 Error 196 Error function 214 Error vector 196 548 Error, experimental 182 Euclidean distance 189 Euclidean dot product 415 Euclidean geometry 138 Euclidean isometry 360 Euclidean matrix norm 534 Euclidean norm 131 145 193 196 524 533 534 Euclidean space 78 101 131 219 Euler angle 238 Euler differential equation 367 380 Euler — Rodrigues formula 484 Euler's formula 126 171 453 Even function 89 Executive business 545 Existence 367 371 387 450 473 488 514 636 Experiment 196 Experimental data 261 Experimental error 182 Exponential ansatz 447 498 Exponential decay 460 Exponential function 391 446 473 Exponential matrix series 536 Exponential series 476 481 Exponential solution 394 Exponential, complex 171 177 458 Exponential, matrix 473 476 477 483 External force 296 325 371 375 448 485 495 External forcing 310 500 617 Extinction 393 Face 127 Factor integrating 619 639 Factor shear 349 Factored 18 402 Factorization 396 Factorization, matrix 562 Factorization, spectral 418 Farmer 544 Fast Fourier Transform 287 289 Fibonacci equation 523 Fibonacci integer 516 521 Fibonacci matrix 412 Field 78 Field, skew 352 Financial mathematics 1 390 510
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